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Finding the Fourth Proportional to 7,371, 11,056.50 and 2,176.74

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Solution

The fourth proportional to 7,371, 11,056.50 and 2,176.74 is: 3,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371 : 11,056.50 = 2,176.74 : x
  2. Step 2: Convert to fraction form
    7,371/11,056.50 = 2,176.74/x
  3. Step 3: Cross multiply
    7,371x = 11,056.50 × 2,176.74
  4. Step 4: Simplify right side
    7,371x = 24,067,125.81
  5. Step 5: Solve for x
    x = 24,067,125.81/7,371
  6. Step 6: Final answer
    x = 3,265.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.